• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.303-311
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• 2017

In this paper we define (p, q)-analogue of Euler zeta function. In order to define (p, q)-analogue of Euler zeta function, we introduce the (p, q)-analogue of Euler numbers and polynomials by generalizing the Euler numbers and polynomials, Carlitz's type q-Euler numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Euler numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Euler polynomials by using computer.

• 정보처리학회논문지B
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• 제9B권6호
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• pp.799-808
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• 2002

통신 수단이 엄청나게 발전한 지금, 대부분의 사람들은 2-3개의 전화번호를 가지고 있어 개인마다 기억해야 할 전화번호의 수가 굉장히 늘어나고 있다. 따라서 전화번호를 쉽게 기억할 수 있는 방법이 적실히 필요하다. 기존의 방법은 "빨리빨리", "이사이사"와 같이 4글자 한 단어의 초성과 숫자의 우리 말 음과 유사한 글자를 이용하여 전화번호에 대응하는 한국어 별명을 사용하여 왔다. 그러나 이러한 방법은 모든 전화번호에 대한 한글 단어를 생성하지 못하여 몇 개의 전화번호에 대해서만 사용이 가능하다. 본 논문은 한글의 타건수를 줄임과 동시에 전화번호를 외우기 쉬운 한글 별명으로의 생성을 동시에 고려한 전화기 한글 자판을 제안한다. 또한 모는 4자리 전화번호에 대응하는 한국어 변명의 생성 방법을 제안하고 3자리 혹은 4자리 국번을 포함한 7자리 혹은 7자리 전화번호에 대한 한국어 별명을 생성할 수 있는 한국어 별명의 형태론 제시한다.있는 한국어 별명의 형태론 제시한다.

• 대한수학회지
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• 제47권3호
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• pp.645-657
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• 2010

In this paper, more generalized q-factorial coefficients are examined by a natural extension of the q-factorial on a sequence of any numbers. This immediately leads to the notions of the extended q-Stirling numbers of both kinds and the extended q-Lah numbers. All results described in this paper may be reduced to well-known results when we set q = 1 or use special sequences.

• 시스템엔지니어링학술지
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• 제8권1호
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• pp.1-7
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• 2012

This research aims to propose a model to estimate the appropriate SE Cost rate to the total project cost when systems engineering applied to light rail transit project. In this research an investment cost estimation model is proposed with reference to COSYSMO (Constructive System Engineering Cost Model). This model includes four input factors such as requirement numbers, interface numbers, algorithm numbers, and scenario numbers. When 2600 requirement numbers are considered on a proposal document with 350 pages in a light rail transit specification of 500 billion~trillion won scale, COSYSMO demo version estimates 42.5 billion won of SE cost (about 5% of total project cost or about 10% of E&M cost).

• 대한수학회보
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• 제38권2호
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• pp.399-412
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• 2001

In this paper, we consider that the q-analogue of w$\omega-Bernoulli numbers\; B_i(\omega, q)$. And we calculate the sums of products of two q-analogue of $\omega-Bernoulli numbers B_i(\omega, q)$ in complex cases. From this result, we obtain the Euler type formulas of the Carlitz´s q-Bernoulli numbers $\beta_i(q)$ and q-Bernoulli numbers $B_i(q)$. And we also calculate the p-adic Stirling type series by the definition of $B_i(\omega, q)$ in p-adic cases.

• 대한수학회지
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• 제53권1호
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• pp.45-55
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• 2016

Let {$X_n,n{\geq}1$} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums ${\frac{1}{g(n)}}{\sum_{i=1}^{n}}{\frac{X_i}{h(i)}}$ of negatively superadditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law of large numbers and Marcinkiewicz-Zygmund strong law of large numbers for negatively superadditive dependent random variables are obtained. Our results generalize the corresponding ones for independent random variables and negatively associated random variables.

• Journal of the Korean Data and Information Science Society
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• 제28권6호
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• pp.1565-1571
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• 2017

The standard logistic map is an iterative function, which forms a discrete-time dynamic system. The chaotic logistic map is a kind of ergodic map defined over the unit interval. In this paper we study the limiting behaviors on the several processes induced by the chaotic logistic map. We derive the law of large numbers for the process induced by the chaotic logistic map. We also derive the uniform law of large numbers for this process. When deriving the uniform law of large numbers, we study the role of bracketing of the indexed class of functions associated with the process. Then we apply the idea of DeHardt (1971) associated with the bracketing method to the process induced by the logistic map. We finally illustrate an application to Monte Carlo integration.

• 대한수학회지
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• 제59권6호
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• pp.1103-1137
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• 2022

Our motivation in this note is to find equal hyperharmonic numbers of different orders. In particular, we deal with the integerness property of the difference of hyperharmonic numbers. Inspired by finiteness results from arithmetic geometry, we see that, under some extra assumption, there are only finitely many pairs of orders for two hyperharmonic numbers of fixed indices to have a certain rational difference. Moreover, using analytic techniques, we get that almost all differences are not integers. On the contrary, we also obtain that there are infinitely many order values where the corresponding differences are integers.

• Journal of the Korean Data and Information Science Society
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• 제17권2호
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• pp.657-659
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• 2006

This note gives a counterexample showing that a main theorem of Aytal and Pehliven's (Information Sciences 176 (2006) 734-744) result on statically monotonic and bounded sequences of fuzzy numbers is not valid.

• 한국지능시스템학회논문지
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• 제13권6호
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• pp.754-758
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• 2003

이 논문에서는 서로 독립이고 동일한 분포를 갖는 퍼지 랜덤변수의 합에 대하여 잘 알려진 강한 대수의 법칙을 tight인 퍼지 랜덤변수의 합에 대한 경우로 일반화 하였다.